2011/04/25 by Atsushi Motohashi
Physics and Astronomy · #Atom (system on chip) #Atomic physics #Chaotic #Cold Atom Physics and Bose-Einstein Condensates #Eigenvalues and eigenvectors #Physics #Quantum #Quantum chaos #Quantum chaos and dynamical systems #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Quantum tunnelling #Thermalisation #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1103/physreva.84.063631
26 pages, 25 figures
arxiv created 2011/04/25 · openalex publication_date 2011/12/22 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the nonequiliribium dynamics of atom-molecule Bose gases in a double-well potential. In this system, the internal atom-molecule tunneling has significant influence on the dynamics. We investigate the regularity of dynamics by studying the level statistics of the quantum system. We find that chaotic energy eigenstates arise from the competition between the interwell and the atom-molecule internal tunnelings. Furthermore, we show that the physical quantities relax to the microcanonical averages in the full-quantum dynamics when the system is chaotic. This thermalization is caused by the verification of the eigenstate thermalization hypothesis (ETH). We show numerically that the onset of ETH occurs simultaneously with that of chaos. In addition, we show that the energy eigenstates become exponentially localized states simultaneously with the onset of chaos.